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Finding the Fourth Proportional to 23,035.50, 31,789.02 and 13,099.50

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Solution

The fourth proportional to 23,035.50, 31,789.02 and 13,099.50 is: 18,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.50 : 31,789.02 = 13,099.50 : x
  2. Step 2: Convert to fraction form
    23,035.50/31,789.02 = 13,099.50/x
  3. Step 3: Cross multiply
    23,035.50x = 31,789.02 × 13,099.50
  4. Step 4: Simplify right side
    23,035.50x = 416,420,267.49
  5. Step 5: Solve for x
    x = 416,420,267.49/23,035.50
  6. Step 6: Final answer
    x = 18,077.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.